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450082431 = 32192632061
BaseRepresentation
bin11010110100111…
…011011001111111
31011100220120000200
4122310323121333
51410210114211
6112354454543
714103431451
oct3264733177
91140816020
10450082431
11211072657
12106894453
1372328386
1443ac02d1
15297a7b56
hex1ad3b67f

450082431 has 12 divisors (see below), whose sum is σ = 684336120. Its totient is φ = 284262480.

The previous prime is 450082421. The next prime is 450082439. The reversal of 450082431 is 134280054.

It is not a de Polignac number, because 450082431 - 211 = 450080383 is a prime.

It is a super-2 number, since 2×4500824312 = 405148389389739522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450082395 and 450082404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450082439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315860 + ... + 1316201.

It is an arithmetic number, because the mean of its divisors is an integer number (57028010).

Almost surely, 2450082431 is an apocalyptic number.

450082431 is a deficient number, since it is larger than the sum of its proper divisors (234253689).

450082431 is a wasteful number, since it uses less digits than its factorization.

450082431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632086 (or 2632083 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450082431 is about 21215.1462639313. The cubic root of 450082431 is about 766.3562203907.

The spelling of 450082431 in words is "four hundred fifty million, eighty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 171 2632061 7896183 23688549 50009159 150027477 450082431